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Finding the Fourth Proportional to 11.64, 17.56 and 11.13

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Solution

The fourth proportional to 11.64, 17.56 and 11.13 is: 16.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 17.56 = 11.13 : x
  2. Step 2: Convert to fraction form
    11.64/17.56 = 11.13/x
  3. Step 3: Cross multiply
    11.64x = 17.56 × 11.13
  4. Step 4: Simplify right side
    11.64x = 195.44
  5. Step 5: Solve for x
    x = 195.44/11.64
  6. Step 6: Final answer
    x = 16.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.